On the problem of determining the existence of ignorable coordinates in conservative dynamic systems

DOI10.1016/0021-8928(78)90087-4zbMath0424.70022OpenAlexW1492386965MaRDI QIDQ1135119

A. S. Sumbatov

Publication date: 1979

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(78)90087-4

zbMATH Keywords

point transformationignorable coordinatesLagrange function of a conservative dynamic system

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99)

Related Items (3)

Solution of one of Birkhoff's problems ⋮ On ignorable coordinates of conservative and natural systems with three degrees of freedom ⋮ Two degree of freedom gyroscopic systems with linear integrals

Cites Work

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• Linear integrals of a holonomic mechanical system
• Classification of linear integrals of a holonomic mechanical system with two degrees of freedom
• On Kilmister's Conditions for the Existence of Linear Integrals of Dynamical Systems
• Integrals of dynamical systems linear in the velocities

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